Results 81 to 90 of about 9,778 (190)
On Motzkin sequence spaces via q-analog and compact operators
Demonstratio MathematicaWe aim to develop a qq-analog of recently introduced Motzkin sequence spaces by Erdem et al. [Motzkin sequence spaces and Motzkin core, Numer. Funct. Anal. Optim. 45 (2024), no.
Yaying Taja, Mursaleen Mohammad
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Modeling and Analysis of Breast Cancer With Variable‐Order Fractional and Optimal Control Approach
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study presents a novel variable‐order (VO) fractional model (VOFM) to describe breast cancer progression and therapy, incorporating five patient compartments that reflect disease stages and treatment effects, including cardiotoxicity. The model employs the constant proportional Caputo (CPC) VO operator to capture memory effects and time‐varying ...
Yousef S. Almaghrebi +4 more
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Schauder Basis With Finite Blaschke Products
We construct a Schauder basis for the space $Hol(\mathbb D)$, the space of holomorphic functions on the closed unit disk, consisting entirely of finite Blaschke products. The expansion coefficients are given explicitly. Our result remains valid when $Hol(\mathbb D)$ is equipped with a broader class of norms satisfying natural structural conditions ...
Fricain, E +3 more
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The Franklin system as Schauder basis for 𝐿^{𝑝}_{𝜇}[0,1] [PDF]
Proceedings of the American Mathematical Society, 1988 The present work is devoted to a characterization of those spaces L μ p [ 0 , 1 ] , p ≥ 1 , μ L_\mu ^p[0,1],p \geq 1,\mu totally finite, for which F \mathcal {F} , the Franklin system, is a ...
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On Some New Sequence Spaces and Their Duals
Journal of MathematicsIn this study, we defined some new sequence spaces using regular Tribonacci matrix. We examined some properties of these spaces such as completeness, Schauder basis. We have identified α−,β−, and γ−duals of the newly created spaces.
Damla Barlak
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Generalized concept of $J$-basis [PDF]
Sahand Communications in Mathematical Analysis, 2015 A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined.
Tofig Najafov
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Milloux Inequality of E-Valued Meromorphic Function
The Scientific World Journal, 2014 The main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis.
Zhaojun Wu, Zuxing Xuan
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Boundedness of Lebesgue Constants and Interpolating Faber Bases
Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017 Background. We investigate the relationship between the boundedness of Lebesgue constants for the Lagrange polynomial interpolation on a compact subset of \[\mathbb R\] and the existence of a Faber basis in the space of continuous functions on this ...
Viktoriia V. Bilet +2 more
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Spaces of holomorphic mappings on Banach spaces with a Schauder basis [PDF]
Studia Mathematica, 1997 Let \(H(U,F)\) denote the space of all holomorphic mappings from a balanced open subset \(U\) of a Banach space \(E\) to a Banach space \(F\). The author proves that if \(E\) has a Schauder basis, then the Nachbin and bornological topologies coincide on \(H(U,F)\). The theorem is obtained via a refinement of a previous proof by \textit{S. Dineen} [Math.
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Almost Sequence Spaces Derived by the Domain of the Matrix
Abstract and Applied Analysis, 2013 By using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and , respectively.
Ali Karaisa, Ümıt Karabıyık
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